{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Sampling Novel Body Poses from VPoser\n",
    "![alt text](https://github.com/nghorbani/human_body_prior/raw/845ad715b82bbd1a4e4772b23a0b7e4cd92203c6/github_data/latent_interpolation_1.gif \"Interpolation of novel poses on the smoother VPoser latent space.\")\n",
    "\n",
    "You can use VPoser to produce novel random poses. \n",
    "This generative model can be potentially used as a synthetic data generator to train other models.\n",
    "\n",
    "For this you would need to first obtain a trained VPoser from https://smpl-x.is.tue.mpg.de/downloads .\n",
    "Put the obtained model in a folder, here we assume \n",
    "\n",
    "'GITHUB_CLONE_ROOT/human_body_prior/dowloads/vposer_v1_0',\n",
    "\n",
    "and afterwards you can use the following code snippet to sample new poses: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "%matplotlib notebook\n",
    "%matplotlib inline\n",
    "\n",
    "expr_dir = '../downloads/vposer_v1_0' #'TRAINED_MODEL_DIRECTORY'  in this directory the trained model along with the model code exist"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found Trained Model: ../downloads/vposer_v1_0/snapshots/TR00_E096.pt\n"
     ]
    }
   ],
   "source": [
    "from human_body_prior.tools.model_loader import load_vposer\n",
    "\n",
    "vposer_pt, ps = load_vposer(expr_dir, vp_model='snapshot')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To visualize the generated poses you can use the *sample_body_pose* script. \n",
    "The visualization code requires you to give the path to a variation of SMPL model, here we use SMPLx, obtainable from https://smpl-x.is.tue.mpg.de/downloads\n",
    "\n",
    "Put the obtained model in a folder, here we assume:\n",
    "\n",
    "'GITHUB_CLONE_ROOT/human_body_prior/dowloads/models'\n",
    "\n",
    "and then the following shows an example to render poses:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "from human_body_prior.body_model.body_model import BodyModel\n",
    "from human_body_prior.tools.visualization_tools import imagearray2file\n",
    "from notebook_tools import show_image\n",
    "from sample_body_pose import dump_vposer_samples\n",
    "\n",
    "import numpy as np\n",
    "\n",
    "bm_path =  '../downloads/models/smplx/SMPLX_FEMALE.npz'#'PATH_TO_SMPLX_model.npz'  obtain from https://smpl-x.is.tue.mpg.de/downloads\n",
    "bm = BodyModel(bm_path)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x1200 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "num_poses = 5 # number of body poses in each batch\n",
    "\n",
    "sampled_pose_body = vposer_pt.sample_poses(num_poses=num_poses) # will a generate Nx1x21x3 tensor of body poses  \n",
    "# expr_dir: directory for the trained model along with the model code. obtain from https://smpl-x.is.tue.mpg.de/downloads\n",
    "images = dump_vposer_samples(bm, sampled_pose_body)\n",
    "img = imagearray2file(images)\n",
    "show_image(np.array(img)[0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The each column of the first row of the above image are the novel poses, and the following rows are varied rotations for demonstration purpose\n",
    "so that you can see the generated body from different angles."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# VPoser Latent Space Interpolation\n",
    "You can go one stap further and investigate the smoothness of the latent space of VPoser. \n",
    "To do this you sample two poses poZ<sub>1</sub> and poZ<sub>2</sub> and then use &alpha; &in; [0.,1.] to change the influence \n",
    "of each on the interpolated poZ<sub>inp</sub>, e.g.\n",
    " \n",
    "poZ<sub>inp</sub> = &alpha; * poZ<sub>1</sub> + (1-&alpha;)* poZ<sub>2</sub>.\n",
    "\n",
    "The header animations show the video of body poses that are result of decoding corresponding varying poZ<sub>inp</sub> values.\n"
   ]
  }
 ],
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